Numerical identification of diffusivity coefficient and initial condition by discrete mollification

DOI10.1016/0898-1221(95)00173-VzbMath0842.65060OpenAlexW2091876315MaRDI QIDQ1905911

Diego A. Murio, Carlos E. Mejía

Publication date: 13 February 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00173-v

zbMATH Keywords

inverse problemsfinite difference schemeerror analysisparabolic equationsmollification methodnumerical exmaplesidentification of diffusivity coefficientidentification of initial condition

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (4)

Numerical identification of diffusivity coefficient and initial condition by discrete mollification ⋮ Identification of parameters in one-dimensional IHCP ⋮ Numerical identification of a nonlinear diffusion coefficient by discrete mollification ⋮ Monotone difference schemes stabilized by discrete mollification for strongly degenerate parabolic equations

Cites Work

• Mollified hyperbolic method for coefficient identification problems
• Numerical identification of diffusivity coefficient and initial condition by discrete mollification
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